113450400 has 216 divisors, whose sum is σ = 457408224. Its totient is φ = 25920000.

The previous prime is 113450353. The next prime is 113450411. The reversal of 113450400 is 4054311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49275 + ... + 51525.

Almost surely, 2^113450400 is an apocalyptic number.

113450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228704112).

113450400 is an abundant number, since it is smaller than the sum of its proper divisors (343957824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113450400 is a wasteful number, since it uses less digits than its factorization.

113450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113450400 is about 10651.3097786141. The cubic root of 113450400 is about 484.1002911264.

It can be divided in two parts, 1134 and 50400, that multiplied together give a square (57153600 = 7560²).

The spelling of 113450400 in words is "one hundred thirteen million, four hundred fifty thousand, four hundred".